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Finding the Third Proportional to 86,070 and 129,066

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Solution

The third proportional to 86,070 and 129,066 is: 193,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,070 : 129,066 = 129,066 : x
  2. Step 2: Convert to fraction form
    86,070/129,066 = 129,066/x
  3. Step 3: Cross multiply
    86,070x = 129,066 × 129,066
  4. Step 4: Simplify right side
    86,070x = 16,658,032,356
  5. Step 5: Solve for x
    x = 16,658,032,356/86,070
  6. Step 6: Final answer
    x = 193,540.52

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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.