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Finding the Third Proportional to 100,360 and 144,252.50

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Solution

The third proportional to 100,360 and 144,252.50 is: 207,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,360 : 144,252.50 = 144,252.50 : x
  2. Step 2: Convert to fraction form
    100,360/144,252.50 = 144,252.50/x
  3. Step 3: Cross multiply
    100,360x = 144,252.50 × 144,252.50
  4. Step 4: Simplify right side
    100,360x = 20,808,783,756.25
  5. Step 5: Solve for x
    x = 20,808,783,756.25/100,360
  6. Step 6: Final answer
    x = 207,341.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.