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Finding the Third Proportional to 59,702.50 and 125,549

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Solution

The third proportional to 59,702.50 and 125,549 is: 264,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,702.50 : 125,549 = 125,549 : x
  2. Step 2: Convert to fraction form
    59,702.50/125,549 = 125,549/x
  3. Step 3: Cross multiply
    59,702.50x = 125,549 × 125,549
  4. Step 4: Simplify right side
    59,702.50x = 15,762,551,401
  5. Step 5: Solve for x
    x = 15,762,551,401/59,702.50
  6. Step 6: Final answer
    x = 264,018.28

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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.