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Finding the Third Proportional to 45,587 and 98,464

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Solution

The third proportional to 45,587 and 98,464 is: 212,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,587 : 98,464 = 98,464 : x
  2. Step 2: Convert to fraction form
    45,587/98,464 = 98,464/x
  3. Step 3: Cross multiply
    45,587x = 98,464 × 98,464
  4. Step 4: Simplify right side
    45,587x = 9,695,159,296
  5. Step 5: Solve for x
    x = 9,695,159,296/45,587
  6. Step 6: Final answer
    x = 212,673.77

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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.