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Finding the Third Proportional to 75,430 and 148,957

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Solution

The third proportional to 75,430 and 148,957 is: 294,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,430 : 148,957 = 148,957 : x
  2. Step 2: Convert to fraction form
    75,430/148,957 = 148,957/x
  3. Step 3: Cross multiply
    75,430x = 148,957 × 148,957
  4. Step 4: Simplify right side
    75,430x = 22,188,187,849
  5. Step 5: Solve for x
    x = 22,188,187,849/75,430
  6. Step 6: Final answer
    x = 294,156.01

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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.