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Finding the Third Proportional to 52,074 and 77,985

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Solution

The third proportional to 52,074 and 77,985 is: 116,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074 : 77,985 = 77,985 : x
  2. Step 2: Convert to fraction form
    52,074/77,985 = 77,985/x
  3. Step 3: Cross multiply
    52,074x = 77,985 × 77,985
  4. Step 4: Simplify right side
    52,074x = 6,081,660,225
  5. Step 5: Solve for x
    x = 6,081,660,225/52,074
  6. Step 6: Final answer
    x = 116,788.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.