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Finding the Third Proportional to 90,453 and 132,970.88

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Solution

The third proportional to 90,453 and 132,970.88 is: 195,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,453 : 132,970.88 = 132,970.88 : x
  2. Step 2: Convert to fraction form
    90,453/132,970.88 = 132,970.88/x
  3. Step 3: Cross multiply
    90,453x = 132,970.88 × 132,970.88
  4. Step 4: Simplify right side
    90,453x = 17,681,253,598.27
  5. Step 5: Solve for x
    x = 17,681,253,598.27/90,453
  6. Step 6: Final answer
    x = 195,474.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.