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Finding the Third Proportional to 63,506 and 95,835

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Solution

The third proportional to 63,506 and 95,835 is: 144,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,506 : 95,835 = 95,835 : x
  2. Step 2: Convert to fraction form
    63,506/95,835 = 95,835/x
  3. Step 3: Cross multiply
    63,506x = 95,835 × 95,835
  4. Step 4: Simplify right side
    63,506x = 9,184,347,225
  5. Step 5: Solve for x
    x = 9,184,347,225/63,506
  6. Step 6: Final answer
    x = 144,621.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.