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Finding the Third Proportional to 39,417 and 85,746

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Solution

The third proportional to 39,417 and 85,746 is: 186,528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,417 : 85,746 = 85,746 : x
  2. Step 2: Convert to fraction form
    39,417/85,746 = 85,746/x
  3. Step 3: Cross multiply
    39,417x = 85,746 × 85,746
  4. Step 4: Simplify right side
    39,417x = 7,352,376,516
  5. Step 5: Solve for x
    x = 7,352,376,516/39,417
  6. Step 6: Final answer
    x = 186,528.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.