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Finding the Third Proportional to 89,070 and 142,029

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Solution

The third proportional to 89,070 and 142,029 is: 226,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,070 : 142,029 = 142,029 : x
  2. Step 2: Convert to fraction form
    89,070/142,029 = 142,029/x
  3. Step 3: Cross multiply
    89,070x = 142,029 × 142,029
  4. Step 4: Simplify right side
    89,070x = 20,172,236,841
  5. Step 5: Solve for x
    x = 20,172,236,841/89,070
  6. Step 6: Final answer
    x = 226,476.22

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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.