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Finding the Third Proportional to 60,739 and 94,287

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Solution

The third proportional to 60,739 and 94,287 is: 146,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,739 : 94,287 = 94,287 : x
  2. Step 2: Convert to fraction form
    60,739/94,287 = 94,287/x
  3. Step 3: Cross multiply
    60,739x = 94,287 × 94,287
  4. Step 4: Simplify right side
    60,739x = 8,890,038,369
  5. Step 5: Solve for x
    x = 8,890,038,369/60,739
  6. Step 6: Final answer
    x = 146,364.58

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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.