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Finding the Third Proportional to 72,495 and 112,744.50

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Solution

The third proportional to 72,495 and 112,744.50 is: 175,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,495 : 112,744.50 = 112,744.50 : x
  2. Step 2: Convert to fraction form
    72,495/112,744.50 = 112,744.50/x
  3. Step 3: Cross multiply
    72,495x = 112,744.50 × 112,744.50
  4. Step 4: Simplify right side
    72,495x = 12,711,322,280.25
  5. Step 5: Solve for x
    x = 12,711,322,280.25/72,495
  6. Step 6: Final answer
    x = 175,340.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.