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Finding the Third Proportional to 78,084 and 114,534

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Solution

The third proportional to 78,084 and 114,534 is: 167,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084 : 114,534 = 114,534 : x
  2. Step 2: Convert to fraction form
    78,084/114,534 = 114,534/x
  3. Step 3: Cross multiply
    78,084x = 114,534 × 114,534
  4. Step 4: Simplify right side
    78,084x = 13,118,037,156
  5. Step 5: Solve for x
    x = 13,118,037,156/78,084
  6. Step 6: Final answer
    x = 167,999.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.