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Finding the Third Proportional to 63,364 and 88,585

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Solution

The third proportional to 63,364 and 88,585 is: 123,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,364 : 88,585 = 88,585 : x
  2. Step 2: Convert to fraction form
    63,364/88,585 = 88,585/x
  3. Step 3: Cross multiply
    63,364x = 88,585 × 88,585
  4. Step 4: Simplify right side
    63,364x = 7,847,302,225
  5. Step 5: Solve for x
    x = 7,847,302,225/63,364
  6. Step 6: Final answer
    x = 123,844.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.