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Finding the Third Proportional to 48,213 and 74,152.50

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Solution

The third proportional to 48,213 and 74,152.50 is: 114,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,213 : 74,152.50 = 74,152.50 : x
  2. Step 2: Convert to fraction form
    48,213/74,152.50 = 74,152.50/x
  3. Step 3: Cross multiply
    48,213x = 74,152.50 × 74,152.50
  4. Step 4: Simplify right side
    48,213x = 5,498,593,256.25
  5. Step 5: Solve for x
    x = 5,498,593,256.25/48,213
  6. Step 6: Final answer
    x = 114,047.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.