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Finding the Third Proportional to 96,152.06 and 141,107.06

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Solution

The third proportional to 96,152.06 and 141,107.06 is: 207,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152.06 : 141,107.06 = 141,107.06 : x
  2. Step 2: Convert to fraction form
    96,152.06/141,107.06 = 141,107.06/x
  3. Step 3: Cross multiply
    96,152.06x = 141,107.06 × 141,107.06
  4. Step 4: Simplify right side
    96,152.06x = 19,911,203,087.38
  5. Step 5: Solve for x
    x = 19,911,203,087.38/96,152.06
  6. Step 6: Final answer
    x = 207,080.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.