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Finding the Third Proportional to 60,670 and 93,597

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Solution

The third proportional to 60,670 and 93,597 is: 144,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,670 : 93,597 = 93,597 : x
  2. Step 2: Convert to fraction form
    60,670/93,597 = 93,597/x
  3. Step 3: Cross multiply
    60,670x = 93,597 × 93,597
  4. Step 4: Simplify right side
    60,670x = 8,760,398,409
  5. Step 5: Solve for x
    x = 8,760,398,409/60,670
  6. Step 6: Final answer
    x = 144,394.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.