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Finding the Third Proportional to 52,512 and 78,585

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Solution

The third proportional to 52,512 and 78,585 is: 117,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,512 : 78,585 = 78,585 : x
  2. Step 2: Convert to fraction form
    52,512/78,585 = 78,585/x
  3. Step 3: Cross multiply
    52,512x = 78,585 × 78,585
  4. Step 4: Simplify right side
    52,512x = 6,175,602,225
  5. Step 5: Solve for x
    x = 6,175,602,225/52,512
  6. Step 6: Final answer
    x = 117,603.64

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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.