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Finding the Third Proportional to 83,712 and 117,354

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Solution

The third proportional to 83,712 and 117,354 is: 164,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,712 : 117,354 = 117,354 : x
  2. Step 2: Convert to fraction form
    83,712/117,354 = 117,354/x
  3. Step 3: Cross multiply
    83,712x = 117,354 × 117,354
  4. Step 4: Simplify right side
    83,712x = 13,771,961,316
  5. Step 5: Solve for x
    x = 13,771,961,316/83,712
  6. Step 6: Final answer
    x = 164,515.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.