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Finding the Third Proportional to 125,700.75 and 186,088.50

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Solution

The third proportional to 125,700.75 and 186,088.50 is: 275,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,700.75 : 186,088.50 = 186,088.50 : x
  2. Step 2: Convert to fraction form
    125,700.75/186,088.50 = 186,088.50/x
  3. Step 3: Cross multiply
    125,700.75x = 186,088.50 × 186,088.50
  4. Step 4: Simplify right side
    125,700.75x = 34,628,929,832.25
  5. Step 5: Solve for x
    x = 34,628,929,832.25/125,700.75
  6. Step 6: Final answer
    x = 275,487.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.