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Finding the Third Proportional to 60,352 and 134,528

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Solution

The third proportional to 60,352 and 134,528 is: 299,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,352 : 134,528 = 134,528 : x
  2. Step 2: Convert to fraction form
    60,352/134,528 = 134,528/x
  3. Step 3: Cross multiply
    60,352x = 134,528 × 134,528
  4. Step 4: Simplify right side
    60,352x = 18,097,782,784
  5. Step 5: Solve for x
    x = 18,097,782,784/60,352
  6. Step 6: Final answer
    x = 299,870.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.