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Finding the Third Proportional to 97,508 and 147,464

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Solution

The third proportional to 97,508 and 147,464 is: 223,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,508 : 147,464 = 147,464 : x
  2. Step 2: Convert to fraction form
    97,508/147,464 = 147,464/x
  3. Step 3: Cross multiply
    97,508x = 147,464 × 147,464
  4. Step 4: Simplify right side
    97,508x = 21,745,631,296
  5. Step 5: Solve for x
    x = 21,745,631,296/97,508
  6. Step 6: Final answer
    x = 223,013.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.