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Finding the Third Proportional to 65,430 and 88,283

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Solution

The third proportional to 65,430 and 88,283 is: 119,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,430 : 88,283 = 88,283 : x
  2. Step 2: Convert to fraction form
    65,430/88,283 = 88,283/x
  3. Step 3: Cross multiply
    65,430x = 88,283 × 88,283
  4. Step 4: Simplify right side
    65,430x = 7,793,888,089
  5. Step 5: Solve for x
    x = 7,793,888,089/65,430
  6. Step 6: Final answer
    x = 119,117.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.