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Finding the Third Proportional to 47,358 and 72,549

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Solution

The third proportional to 47,358 and 72,549 is: 111,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 72,549 = 72,549 : x
  2. Step 2: Convert to fraction form
    47,358/72,549 = 72,549/x
  3. Step 3: Cross multiply
    47,358x = 72,549 × 72,549
  4. Step 4: Simplify right side
    47,358x = 5,263,357,401
  5. Step 5: Solve for x
    x = 5,263,357,401/47,358
  6. Step 6: Final answer
    x = 111,139.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.