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Finding the Third Proportional to 92,646.28 and 153,338.06

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Solution

The third proportional to 92,646.28 and 153,338.06 is: 253,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,646.28 : 153,338.06 = 153,338.06 : x
  2. Step 2: Convert to fraction form
    92,646.28/153,338.06 = 153,338.06/x
  3. Step 3: Cross multiply
    92,646.28x = 153,338.06 × 153,338.06
  4. Step 4: Simplify right side
    92,646.28x = 23,512,561,411.25
  5. Step 5: Solve for x
    x = 23,512,561,411.25/92,646.28
  6. Step 6: Final answer
    x = 253,788.51

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.