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Finding the Third Proportional to 45,498 and 95,709

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Solution

The third proportional to 45,498 and 95,709 is: 201,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498 : 95,709 = 95,709 : x
  2. Step 2: Convert to fraction form
    45,498/95,709 = 95,709/x
  3. Step 3: Cross multiply
    45,498x = 95,709 × 95,709
  4. Step 4: Simplify right side
    45,498x = 9,160,212,681
  5. Step 5: Solve for x
    x = 9,160,212,681/45,498
  6. Step 6: Final answer
    x = 201,332.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.