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Finding the Third Proportional to 45,565 and 98,617

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Solution

The third proportional to 45,565 and 98,617 is: 213,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,565 : 98,617 = 98,617 : x
  2. Step 2: Convert to fraction form
    45,565/98,617 = 98,617/x
  3. Step 3: Cross multiply
    45,565x = 98,617 × 98,617
  4. Step 4: Simplify right side
    45,565x = 9,725,312,689
  5. Step 5: Solve for x
    x = 9,725,312,689/45,565
  6. Step 6: Final answer
    x = 213,438.22

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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.