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Finding the Third Proportional to 60,570 and 141,480

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Solution

The third proportional to 60,570 and 141,480 is: 330,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,570 : 141,480 = 141,480 : x
  2. Step 2: Convert to fraction form
    60,570/141,480 = 141,480/x
  3. Step 3: Cross multiply
    60,570x = 141,480 × 141,480
  4. Step 4: Simplify right side
    60,570x = 20,016,590,400
  5. Step 5: Solve for x
    x = 20,016,590,400/60,570
  6. Step 6: Final answer
    x = 330,470.37

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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.