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Finding the Third Proportional to 86,210 and 129,417

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Solution

The third proportional to 86,210 and 129,417 is: 194,278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,210 : 129,417 = 129,417 : x
  2. Step 2: Convert to fraction form
    86,210/129,417 = 129,417/x
  3. Step 3: Cross multiply
    86,210x = 129,417 × 129,417
  4. Step 4: Simplify right side
    86,210x = 16,748,759,889
  5. Step 5: Solve for x
    x = 16,748,759,889/86,210
  6. Step 6: Final answer
    x = 194,278.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.