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Finding the Third Proportional to 45,429 and 97,068

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Solution

The third proportional to 45,429 and 97,068 is: 207,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,429 : 97,068 = 97,068 : x
  2. Step 2: Convert to fraction form
    45,429/97,068 = 97,068/x
  3. Step 3: Cross multiply
    45,429x = 97,068 × 97,068
  4. Step 4: Simplify right side
    45,429x = 9,422,196,624
  5. Step 5: Solve for x
    x = 9,422,196,624/45,429
  6. Step 6: Final answer
    x = 207,404.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.