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Finding the Third Proportional to 60,021 and 130,612.50

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Solution

The third proportional to 60,021 and 130,612.50 is: 284,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,021 : 130,612.50 = 130,612.50 : x
  2. Step 2: Convert to fraction form
    60,021/130,612.50 = 130,612.50/x
  3. Step 3: Cross multiply
    60,021x = 130,612.50 × 130,612.50
  4. Step 4: Simplify right side
    60,021x = 17,059,625,156.25
  5. Step 5: Solve for x
    x = 17,059,625,156.25/60,021
  6. Step 6: Final answer
    x = 284,227.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.