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Finding the Third Proportional to 125,608.50 and 273,033

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Solution

The third proportional to 125,608.50 and 273,033 is: 593,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,608.50 : 273,033 = 273,033 : x
  2. Step 2: Convert to fraction form
    125,608.50/273,033 = 273,033/x
  3. Step 3: Cross multiply
    125,608.50x = 273,033 × 273,033
  4. Step 4: Simplify right side
    125,608.50x = 74,547,019,089
  5. Step 5: Solve for x
    x = 74,547,019,089/125,608.50
  6. Step 6: Final answer
    x = 593,487.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.