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Finding the Third Proportional to 99,769 and 118,222

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Solution

The third proportional to 99,769 and 118,222 is: 140,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769 : 118,222 = 118,222 : x
  2. Step 2: Convert to fraction form
    99,769/118,222 = 118,222/x
  3. Step 3: Cross multiply
    99,769x = 118,222 × 118,222
  4. Step 4: Simplify right side
    99,769x = 13,976,441,284
  5. Step 5: Solve for x
    x = 13,976,441,284/99,769
  6. Step 6: Final answer
    x = 140,088.02

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.