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Finding the Third Proportional to 60,175 and 92,501

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Solution

The third proportional to 60,175 and 92,501 is: 142,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,175 : 92,501 = 92,501 : x
  2. Step 2: Convert to fraction form
    60,175/92,501 = 92,501/x
  3. Step 3: Cross multiply
    60,175x = 92,501 × 92,501
  4. Step 4: Simplify right side
    60,175x = 8,556,435,001
  5. Step 5: Solve for x
    x = 8,556,435,001/60,175
  6. Step 6: Final answer
    x = 142,192.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.