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Finding the Third Proportional to 86,952 and 138,210

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Solution

The third proportional to 86,952 and 138,210 is: 219,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,952 : 138,210 = 138,210 : x
  2. Step 2: Convert to fraction form
    86,952/138,210 = 138,210/x
  3. Step 3: Cross multiply
    86,952x = 138,210 × 138,210
  4. Step 4: Simplify right side
    86,952x = 19,102,004,100
  5. Step 5: Solve for x
    x = 19,102,004,100/86,952
  6. Step 6: Final answer
    x = 219,684.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.