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Finding the Third Proportional to 60,569 and 141,473

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Solution

The third proportional to 60,569 and 141,473 is: 330,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,569 : 141,473 = 141,473 : x
  2. Step 2: Convert to fraction form
    60,569/141,473 = 141,473/x
  3. Step 3: Cross multiply
    60,569x = 141,473 × 141,473
  4. Step 4: Simplify right side
    60,569x = 20,014,609,729
  5. Step 5: Solve for x
    x = 20,014,609,729/60,569
  6. Step 6: Final answer
    x = 330,443.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.