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Finding the Third Proportional to 62,490 and 93,816

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Solution

The third proportional to 62,490 and 93,816 is: 140,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,490 : 93,816 = 93,816 : x
  2. Step 2: Convert to fraction form
    62,490/93,816 = 93,816/x
  3. Step 3: Cross multiply
    62,490x = 93,816 × 93,816
  4. Step 4: Simplify right side
    62,490x = 8,801,441,856
  5. Step 5: Solve for x
    x = 8,801,441,856/62,490
  6. Step 6: Final answer
    x = 140,845.60

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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.