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Finding the Third Proportional to 45,506 and 99,508

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Solution

The third proportional to 45,506 and 99,508 is: 217,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,506 : 99,508 = 99,508 : x
  2. Step 2: Convert to fraction form
    45,506/99,508 = 99,508/x
  3. Step 3: Cross multiply
    45,506x = 99,508 × 99,508
  4. Step 4: Simplify right side
    45,506x = 9,901,842,064
  5. Step 5: Solve for x
    x = 9,901,842,064/45,506
  6. Step 6: Final answer
    x = 217,594.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.