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Finding the Third Proportional to 103,962.23 and 148,562.23

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Solution

The third proportional to 103,962.23 and 148,562.23 is: 212,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,962.23 : 148,562.23 = 148,562.23 : x
  2. Step 2: Convert to fraction form
    103,962.23/148,562.23 = 148,562.23/x
  3. Step 3: Cross multiply
    103,962.23x = 148,562.23 × 148,562.23
  4. Step 4: Simplify right side
    103,962.23x = 22,070,735,161.21
  5. Step 5: Solve for x
    x = 22,070,735,161.21/103,962.23
  6. Step 6: Final answer
    x = 212,295.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.