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Finding the Third Proportional to 47,359 and 73,528

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Solution

The third proportional to 47,359 and 73,528 is: 114,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,359 : 73,528 = 73,528 : x
  2. Step 2: Convert to fraction form
    47,359/73,528 = 73,528/x
  3. Step 3: Cross multiply
    47,359x = 73,528 × 73,528
  4. Step 4: Simplify right side
    47,359x = 5,406,366,784
  5. Step 5: Solve for x
    x = 5,406,366,784/47,359
  6. Step 6: Final answer
    x = 114,157.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.