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Finding the Third Proportional to 52,291.13 and 114,562.13

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Solution

The third proportional to 52,291.13 and 114,562.13 is: 250,988.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,291.13 : 114,562.13 = 114,562.13 : x
  2. Step 2: Convert to fraction form
    52,291.13/114,562.13 = 114,562.13/x
  3. Step 3: Cross multiply
    52,291.13x = 114,562.13 × 114,562.13
  4. Step 4: Simplify right side
    52,291.13x = 13,124,480,484.52
  5. Step 5: Solve for x
    x = 13,124,480,484.52/52,291.13
  6. Step 6: Final answer
    x = 250,988.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.