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Finding the Third Proportional to 95,984.86 and 142,088.63

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Solution

The third proportional to 95,984.86 and 142,088.63 is: 210,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,984.86 : 142,088.63 = 142,088.63 : x
  2. Step 2: Convert to fraction form
    95,984.86/142,088.63 = 142,088.63/x
  3. Step 3: Cross multiply
    95,984.86x = 142,088.63 × 142,088.63
  4. Step 4: Simplify right side
    95,984.86x = 20,189,177,354.39
  5. Step 5: Solve for x
    x = 20,189,177,354.39/95,984.86
  6. Step 6: Final answer
    x = 210,337.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.