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Finding the Third Proportional to 76,029 and 119,265

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Solution

The third proportional to 76,029 and 119,265 is: 187,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,029 : 119,265 = 119,265 : x
  2. Step 2: Convert to fraction form
    76,029/119,265 = 119,265/x
  3. Step 3: Cross multiply
    76,029x = 119,265 × 119,265
  4. Step 4: Simplify right side
    76,029x = 14,224,140,225
  5. Step 5: Solve for x
    x = 14,224,140,225/76,029
  6. Step 6: Final answer
    x = 187,088.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.