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Finding the Third Proportional to 39,160 and 87,284

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Solution

The third proportional to 39,160 and 87,284 is: 194,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,160 : 87,284 = 87,284 : x
  2. Step 2: Convert to fraction form
    39,160/87,284 = 87,284/x
  3. Step 3: Cross multiply
    39,160x = 87,284 × 87,284
  4. Step 4: Simplify right side
    39,160x = 7,618,496,656
  5. Step 5: Solve for x
    x = 7,618,496,656/39,160
  6. Step 6: Final answer
    x = 194,547.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.