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Finding the Third Proportional to 73,488 and 110,070

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Solution

The third proportional to 73,488 and 110,070 is: 164,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,488 : 110,070 = 110,070 : x
  2. Step 2: Convert to fraction form
    73,488/110,070 = 110,070/x
  3. Step 3: Cross multiply
    73,488x = 110,070 × 110,070
  4. Step 4: Simplify right side
    73,488x = 12,115,404,900
  5. Step 5: Solve for x
    x = 12,115,404,900/73,488
  6. Step 6: Final answer
    x = 164,862.36

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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.