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Finding the Third Proportional to 106,117.88 and 160,543.69

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Solution

The third proportional to 106,117.88 and 160,543.69 is: 242,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,117.88 : 160,543.69 = 160,543.69 : x
  2. Step 2: Convert to fraction form
    106,117.88/160,543.69 = 160,543.69/x
  3. Step 3: Cross multiply
    106,117.88x = 160,543.69 × 160,543.69
  4. Step 4: Simplify right side
    106,117.88x = 25,774,275,596.10
  5. Step 5: Solve for x
    x = 25,774,275,596.10/106,117.88
  6. Step 6: Final answer
    x = 242,883.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.