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Finding the Third Proportional to 153,112.78 and 164,594.53

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Solution

The third proportional to 153,112.78 and 164,594.53 is: 176,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,112.78 : 164,594.53 = 164,594.53 : x
  2. Step 2: Convert to fraction form
    153,112.78/164,594.53 = 164,594.53/x
  3. Step 3: Cross multiply
    153,112.78x = 164,594.53 × 164,594.53
  4. Step 4: Simplify right side
    153,112.78x = 27,091,359,717.41
  5. Step 5: Solve for x
    x = 27,091,359,717.41/153,112.78
  6. Step 6: Final answer
    x = 176,937.28

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.