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Finding the Third Proportional to 45,585 and 98,461

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Solution

The third proportional to 45,585 and 98,461 is: 212,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,585 : 98,461 = 98,461 : x
  2. Step 2: Convert to fraction form
    45,585/98,461 = 98,461/x
  3. Step 3: Cross multiply
    45,585x = 98,461 × 98,461
  4. Step 4: Simplify right side
    45,585x = 9,694,568,521
  5. Step 5: Solve for x
    x = 9,694,568,521/45,585
  6. Step 6: Final answer
    x = 212,670.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.