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Finding the Third Proportional to 60,427 and 130,574

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Solution

The third proportional to 60,427 and 130,574 is: 282,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,427 : 130,574 = 130,574 : x
  2. Step 2: Convert to fraction form
    60,427/130,574 = 130,574/x
  3. Step 3: Cross multiply
    60,427x = 130,574 × 130,574
  4. Step 4: Simplify right side
    60,427x = 17,049,569,476
  5. Step 5: Solve for x
    x = 17,049,569,476/60,427
  6. Step 6: Final answer
    x = 282,151.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.