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Finding the Third Proportional to 65,595 and 101,289

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Solution

The third proportional to 65,595 and 101,289 is: 156,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,595 : 101,289 = 101,289 : x
  2. Step 2: Convert to fraction form
    65,595/101,289 = 101,289/x
  3. Step 3: Cross multiply
    65,595x = 101,289 × 101,289
  4. Step 4: Simplify right side
    65,595x = 10,259,461,521
  5. Step 5: Solve for x
    x = 10,259,461,521/65,595
  6. Step 6: Final answer
    x = 156,406.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.