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Finding the Third Proportional to 56,971 and 88,443

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Solution

The third proportional to 56,971 and 88,443 is: 137,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,971 : 88,443 = 88,443 : x
  2. Step 2: Convert to fraction form
    56,971/88,443 = 88,443/x
  3. Step 3: Cross multiply
    56,971x = 88,443 × 88,443
  4. Step 4: Simplify right side
    56,971x = 7,822,164,249
  5. Step 5: Solve for x
    x = 7,822,164,249/56,971
  6. Step 6: Final answer
    x = 137,300.81

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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.