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Finding the Third Proportional to 100,818 and 141,277.50

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Solution

The third proportional to 100,818 and 141,277.50 is: 197,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,818 : 141,277.50 = 141,277.50 : x
  2. Step 2: Convert to fraction form
    100,818/141,277.50 = 141,277.50/x
  3. Step 3: Cross multiply
    100,818x = 141,277.50 × 141,277.50
  4. Step 4: Simplify right side
    100,818x = 19,959,332,006.25
  5. Step 5: Solve for x
    x = 19,959,332,006.25/100,818
  6. Step 6: Final answer
    x = 197,973.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.