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Finding the Third Proportional to 62,830.13 and 135,501.75

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Solution

The third proportional to 62,830.13 and 135,501.75 is: 292,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,830.13 : 135,501.75 = 135,501.75 : x
  2. Step 2: Convert to fraction form
    62,830.13/135,501.75 = 135,501.75/x
  3. Step 3: Cross multiply
    62,830.13x = 135,501.75 × 135,501.75
  4. Step 4: Simplify right side
    62,830.13x = 18,360,724,253.06
  5. Step 5: Solve for x
    x = 18,360,724,253.06/62,830.13
  6. Step 6: Final answer
    x = 292,228.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.