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Finding the Third Proportional to 85,417.50 and 124,833

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Solution

The third proportional to 85,417.50 and 124,833 is: 182,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417.50 : 124,833 = 124,833 : x
  2. Step 2: Convert to fraction form
    85,417.50/124,833 = 124,833/x
  3. Step 3: Cross multiply
    85,417.50x = 124,833 × 124,833
  4. Step 4: Simplify right side
    85,417.50x = 15,583,277,889
  5. Step 5: Solve for x
    x = 15,583,277,889/85,417.50
  6. Step 6: Final answer
    x = 182,436.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.