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Finding the Third Proportional to 65,313 and 99,117

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Solution

The third proportional to 65,313 and 99,117 is: 150,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,313 : 99,117 = 99,117 : x
  2. Step 2: Convert to fraction form
    65,313/99,117 = 99,117/x
  3. Step 3: Cross multiply
    65,313x = 99,117 × 99,117
  4. Step 4: Simplify right side
    65,313x = 9,824,179,689
  5. Step 5: Solve for x
    x = 9,824,179,689/65,313
  6. Step 6: Final answer
    x = 150,416.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.