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Finding the Third Proportional to 59,683.50 and 125,118

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Solution

The third proportional to 59,683.50 and 125,118 is: 262,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,683.50 : 125,118 = 125,118 : x
  2. Step 2: Convert to fraction form
    59,683.50/125,118 = 125,118/x
  3. Step 3: Cross multiply
    59,683.50x = 125,118 × 125,118
  4. Step 4: Simplify right side
    59,683.50x = 15,654,513,924
  5. Step 5: Solve for x
    x = 15,654,513,924/59,683.50
  6. Step 6: Final answer
    x = 262,292.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.