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Finding the Third Proportional to 56,352 and 87,211

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Solution

The third proportional to 56,352 and 87,211 is: 134,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,352 : 87,211 = 87,211 : x
  2. Step 2: Convert to fraction form
    56,352/87,211 = 87,211/x
  3. Step 3: Cross multiply
    56,352x = 87,211 × 87,211
  4. Step 4: Simplify right side
    56,352x = 7,605,758,521
  5. Step 5: Solve for x
    x = 7,605,758,521/56,352
  6. Step 6: Final answer
    x = 134,968.74

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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.