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Finding the Third Proportional to 60,102 and 93,059

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Solution

The third proportional to 60,102 and 93,059 is: 144,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,102 : 93,059 = 93,059 : x
  2. Step 2: Convert to fraction form
    60,102/93,059 = 93,059/x
  3. Step 3: Cross multiply
    60,102x = 93,059 × 93,059
  4. Step 4: Simplify right side
    60,102x = 8,659,977,481
  5. Step 5: Solve for x
    x = 8,659,977,481/60,102
  6. Step 6: Final answer
    x = 144,088.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.