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Finding the Third Proportional to 124,656 and 174,915

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Solution

The third proportional to 124,656 and 174,915 is: 245,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,656 : 174,915 = 174,915 : x
  2. Step 2: Convert to fraction form
    124,656/174,915 = 174,915/x
  3. Step 3: Cross multiply
    124,656x = 174,915 × 174,915
  4. Step 4: Simplify right side
    124,656x = 30,595,257,225
  5. Step 5: Solve for x
    x = 30,595,257,225/124,656
  6. Step 6: Final answer
    x = 245,437.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.