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Finding the Third Proportional to 76,506 and 116,961

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Solution

The third proportional to 76,506 and 116,961 is: 178,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506 : 116,961 = 116,961 : x
  2. Step 2: Convert to fraction form
    76,506/116,961 = 116,961/x
  3. Step 3: Cross multiply
    76,506x = 116,961 × 116,961
  4. Step 4: Simplify right side
    76,506x = 13,679,875,521
  5. Step 5: Solve for x
    x = 13,679,875,521/76,506
  6. Step 6: Final answer
    x = 178,807.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.