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Finding the Third Proportional to 65,324 and 95,465

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Solution

The third proportional to 65,324 and 95,465 is: 139,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,324 : 95,465 = 95,465 : x
  2. Step 2: Convert to fraction form
    65,324/95,465 = 95,465/x
  3. Step 3: Cross multiply
    65,324x = 95,465 × 95,465
  4. Step 4: Simplify right side
    65,324x = 9,113,566,225
  5. Step 5: Solve for x
    x = 9,113,566,225/65,324
  6. Step 6: Final answer
    x = 139,513.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.