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Finding the Third Proportional to 97,076 and 145,470

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Solution

The third proportional to 97,076 and 145,470 is: 217,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,076 : 145,470 = 145,470 : x
  2. Step 2: Convert to fraction form
    97,076/145,470 = 145,470/x
  3. Step 3: Cross multiply
    97,076x = 145,470 × 145,470
  4. Step 4: Simplify right side
    97,076x = 21,161,520,900
  5. Step 5: Solve for x
    x = 21,161,520,900/97,076
  6. Step 6: Final answer
    x = 217,989.21

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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.