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Finding the Third Proportional to 145,101 and 193,522

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Solution

The third proportional to 145,101 and 193,522 is: 258,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,101 : 193,522 = 193,522 : x
  2. Step 2: Convert to fraction form
    145,101/193,522 = 193,522/x
  3. Step 3: Cross multiply
    145,101x = 193,522 × 193,522
  4. Step 4: Simplify right side
    145,101x = 37,450,764,484
  5. Step 5: Solve for x
    x = 37,450,764,484/145,101
  6. Step 6: Final answer
    x = 258,101.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.