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Finding the Third Proportional to 52,311 and 78,585

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Solution

The third proportional to 52,311 and 78,585 is: 118,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,311 : 78,585 = 78,585 : x
  2. Step 2: Convert to fraction form
    52,311/78,585 = 78,585/x
  3. Step 3: Cross multiply
    52,311x = 78,585 × 78,585
  4. Step 4: Simplify right side
    52,311x = 6,175,602,225
  5. Step 5: Solve for x
    x = 6,175,602,225/52,311
  6. Step 6: Final answer
    x = 118,055.52

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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.