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Finding the Third Proportional to 56,693 and 88,178

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Solution

The third proportional to 56,693 and 88,178 is: 137,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,693 : 88,178 = 88,178 : x
  2. Step 2: Convert to fraction form
    56,693/88,178 = 88,178/x
  3. Step 3: Cross multiply
    56,693x = 88,178 × 88,178
  4. Step 4: Simplify right side
    56,693x = 7,775,359,684
  5. Step 5: Solve for x
    x = 7,775,359,684/56,693
  6. Step 6: Final answer
    x = 137,148.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.