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Finding the Third Proportional to 113,302.55 and 153,334.90

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Solution

The third proportional to 113,302.55 and 153,334.90 is: 207,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,302.55 : 153,334.90 = 153,334.90 : x
  2. Step 2: Convert to fraction form
    113,302.55/153,334.90 = 153,334.90/x
  3. Step 3: Cross multiply
    113,302.55x = 153,334.90 × 153,334.90
  4. Step 4: Simplify right side
    113,302.55x = 23,511,591,078.84
  5. Step 5: Solve for x
    x = 23,511,591,078.84/113,302.55
  6. Step 6: Final answer
    x = 207,511.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.