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Finding the Third Proportional to 65,390 and 145,585

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Solution

The third proportional to 65,390 and 145,585 is: 324,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,390 : 145,585 = 145,585 : x
  2. Step 2: Convert to fraction form
    65,390/145,585 = 145,585/x
  3. Step 3: Cross multiply
    65,390x = 145,585 × 145,585
  4. Step 4: Simplify right side
    65,390x = 21,194,992,225
  5. Step 5: Solve for x
    x = 21,194,992,225/65,390
  6. Step 6: Final answer
    x = 324,132.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.