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Finding the Third Proportional to 52,310 and 78,582

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Solution

The third proportional to 52,310 and 78,582 is: 118,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,310 : 78,582 = 78,582 : x
  2. Step 2: Convert to fraction form
    52,310/78,582 = 78,582/x
  3. Step 3: Cross multiply
    52,310x = 78,582 × 78,582
  4. Step 4: Simplify right side
    52,310x = 6,175,130,724
  5. Step 5: Solve for x
    x = 6,175,130,724/52,310
  6. Step 6: Final answer
    x = 118,048.76

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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.