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Finding the Third Proportional to 56,064 and 93,437

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Solution

The third proportional to 56,064 and 93,437 is: 155,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064 : 93,437 = 93,437 : x
  2. Step 2: Convert to fraction form
    56,064/93,437 = 93,437/x
  3. Step 3: Cross multiply
    56,064x = 93,437 × 93,437
  4. Step 4: Simplify right side
    56,064x = 8,730,472,969
  5. Step 5: Solve for x
    x = 8,730,472,969/56,064
  6. Step 6: Final answer
    x = 155,723.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.