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Finding the Third Proportional to 107,370 and 157,773

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Solution

The third proportional to 107,370 and 157,773 is: 231,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,370 : 157,773 = 157,773 : x
  2. Step 2: Convert to fraction form
    107,370/157,773 = 157,773/x
  3. Step 3: Cross multiply
    107,370x = 157,773 × 157,773
  4. Step 4: Simplify right side
    107,370x = 24,892,319,529
  5. Step 5: Solve for x
    x = 24,892,319,529/107,370
  6. Step 6: Final answer
    x = 231,836.82

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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.