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Finding the Third Proportional to 60,002 and 95,363

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Solution

The third proportional to 60,002 and 95,363 is: 151,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,002 : 95,363 = 95,363 : x
  2. Step 2: Convert to fraction form
    60,002/95,363 = 95,363/x
  3. Step 3: Cross multiply
    60,002x = 95,363 × 95,363
  4. Step 4: Simplify right side
    60,002x = 9,094,101,769
  5. Step 5: Solve for x
    x = 9,094,101,769/60,002
  6. Step 6: Final answer
    x = 151,563.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.