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Finding the Third Proportional to 56,970 and 88,435

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Solution

The third proportional to 56,970 and 88,435 is: 137,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,970 : 88,435 = 88,435 : x
  2. Step 2: Convert to fraction form
    56,970/88,435 = 88,435/x
  3. Step 3: Cross multiply
    56,970x = 88,435 × 88,435
  4. Step 4: Simplify right side
    56,970x = 7,820,749,225
  5. Step 5: Solve for x
    x = 7,820,749,225/56,970
  6. Step 6: Final answer
    x = 137,278.38

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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.