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Finding the Third Proportional to 75,534 and 156,528

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Solution

The third proportional to 75,534 and 156,528 is: 324,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534 : 156,528 = 156,528 : x
  2. Step 2: Convert to fraction form
    75,534/156,528 = 156,528/x
  3. Step 3: Cross multiply
    75,534x = 156,528 × 156,528
  4. Step 4: Simplify right side
    75,534x = 24,501,014,784
  5. Step 5: Solve for x
    x = 24,501,014,784/75,534
  6. Step 6: Final answer
    x = 324,370.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.