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Finding the Third Proportional to 71,070 and 110,046

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Solution

The third proportional to 71,070 and 110,046 is: 170,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,070 : 110,046 = 110,046 : x
  2. Step 2: Convert to fraction form
    71,070/110,046 = 110,046/x
  3. Step 3: Cross multiply
    71,070x = 110,046 × 110,046
  4. Step 4: Simplify right side
    71,070x = 12,110,122,116
  5. Step 5: Solve for x
    x = 12,110,122,116/71,070
  6. Step 6: Final answer
    x = 170,397.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.