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Finding the Third Proportional to 108,856.88 and 164,926.13

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Solution

The third proportional to 108,856.88 and 164,926.13 is: 249,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,856.88 : 164,926.13 = 164,926.13 : x
  2. Step 2: Convert to fraction form
    108,856.88/164,926.13 = 164,926.13/x
  3. Step 3: Cross multiply
    108,856.88x = 164,926.13 × 164,926.13
  4. Step 4: Simplify right side
    108,856.88x = 27,200,626,707.52
  5. Step 5: Solve for x
    x = 27,200,626,707.52/108,856.88
  6. Step 6: Final answer
    x = 249,875.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.