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Finding the Third Proportional to 56,968 and 88,437

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Solution

The third proportional to 56,968 and 88,437 is: 137,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,968 : 88,437 = 88,437 : x
  2. Step 2: Convert to fraction form
    56,968/88,437 = 88,437/x
  3. Step 3: Cross multiply
    56,968x = 88,437 × 88,437
  4. Step 4: Simplify right side
    56,968x = 7,821,102,969
  5. Step 5: Solve for x
    x = 7,821,102,969/56,968
  6. Step 6: Final answer
    x = 137,289.41

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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.