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Finding the Third Proportional to 56,385 and 83,970

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Solution

The third proportional to 56,385 and 83,970 is: 125,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,385 : 83,970 = 83,970 : x
  2. Step 2: Convert to fraction form
    56,385/83,970 = 83,970/x
  3. Step 3: Cross multiply
    56,385x = 83,970 × 83,970
  4. Step 4: Simplify right side
    56,385x = 7,050,960,900
  5. Step 5: Solve for x
    x = 7,050,960,900/56,385
  6. Step 6: Final answer
    x = 125,050.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.