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Finding the Third Proportional to 65,335 and 95,482

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Solution

The third proportional to 65,335 and 95,482 is: 139,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,335 : 95,482 = 95,482 : x
  2. Step 2: Convert to fraction form
    65,335/95,482 = 95,482/x
  3. Step 3: Cross multiply
    65,335x = 95,482 × 95,482
  4. Step 4: Simplify right side
    65,335x = 9,116,812,324
  5. Step 5: Solve for x
    x = 9,116,812,324/65,335
  6. Step 6: Final answer
    x = 139,539.49

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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.