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Finding the Third Proportional to 65,479 and 102,430.50

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Solution

The third proportional to 65,479 and 102,430.50 is: 160,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,479 : 102,430.50 = 102,430.50 : x
  2. Step 2: Convert to fraction form
    65,479/102,430.50 = 102,430.50/x
  3. Step 3: Cross multiply
    65,479x = 102,430.50 × 102,430.50
  4. Step 4: Simplify right side
    65,479x = 10,492,007,330.25
  5. Step 5: Solve for x
    x = 10,492,007,330.25/65,479
  6. Step 6: Final answer
    x = 160,234.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.