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Finding the Third Proportional to 107,254.13 and 157,555.13

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Solution

The third proportional to 107,254.13 and 157,555.13 is: 231,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,254.13 : 157,555.13 = 157,555.13 : x
  2. Step 2: Convert to fraction form
    107,254.13/157,555.13 = 157,555.13/x
  3. Step 3: Cross multiply
    107,254.13x = 157,555.13 × 157,555.13
  4. Step 4: Simplify right side
    107,254.13x = 24,823,617,413.77
  5. Step 5: Solve for x
    x = 24,823,617,413.77/107,254.13
  6. Step 6: Final answer
    x = 231,446.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.