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Finding the Third Proportional to 100,835 and 141,319

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Solution

The third proportional to 100,835 and 141,319 is: 198,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,835 : 141,319 = 141,319 : x
  2. Step 2: Convert to fraction form
    100,835/141,319 = 141,319/x
  3. Step 3: Cross multiply
    100,835x = 141,319 × 141,319
  4. Step 4: Simplify right side
    100,835x = 19,971,059,761
  5. Step 5: Solve for x
    x = 19,971,059,761/100,835
  6. Step 6: Final answer
    x = 198,056.82

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Why These Related Problems?

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