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Finding the Third Proportional to 60,507 and 87,024.38

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Solution

The third proportional to 60,507 and 87,024.38 is: 125,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,507 : 87,024.38 = 87,024.38 : x
  2. Step 2: Convert to fraction form
    60,507/87,024.38 = 87,024.38/x
  3. Step 3: Cross multiply
    60,507x = 87,024.38 × 87,024.38
  4. Step 4: Simplify right side
    60,507x = 7,573,241,844.14
  5. Step 5: Solve for x
    x = 7,573,241,844.14/60,507
  6. Step 6: Final answer
    x = 125,163.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.