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Finding the Third Proportional to 57,033 and 83,317.50

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Solution

The third proportional to 57,033 and 83,317.50 is: 121,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033 : 83,317.50 = 83,317.50 : x
  2. Step 2: Convert to fraction form
    57,033/83,317.50 = 83,317.50/x
  3. Step 3: Cross multiply
    57,033x = 83,317.50 × 83,317.50
  4. Step 4: Simplify right side
    57,033x = 6,941,805,806.25
  5. Step 5: Solve for x
    x = 6,941,805,806.25/57,033
  6. Step 6: Final answer
    x = 121,715.60

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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.