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Finding the Third Proportional to 75,429 and 148,954.50

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Solution

The third proportional to 75,429 and 148,954.50 is: 294,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,429 : 148,954.50 = 148,954.50 : x
  2. Step 2: Convert to fraction form
    75,429/148,954.50 = 148,954.50/x
  3. Step 3: Cross multiply
    75,429x = 148,954.50 × 148,954.50
  4. Step 4: Simplify right side
    75,429x = 22,187,443,070.25
  5. Step 5: Solve for x
    x = 22,187,443,070.25/75,429
  6. Step 6: Final answer
    x = 294,150.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.