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Finding the Third Proportional to 73,428 and 114,470

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Solution

The third proportional to 73,428 and 114,470 is: 178,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,428 : 114,470 = 114,470 : x
  2. Step 2: Convert to fraction form
    73,428/114,470 = 114,470/x
  3. Step 3: Cross multiply
    73,428x = 114,470 × 114,470
  4. Step 4: Simplify right side
    73,428x = 13,103,380,900
  5. Step 5: Solve for x
    x = 13,103,380,900/73,428
  6. Step 6: Final answer
    x = 178,452.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.