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Finding the Third Proportional to 102,534.50 and 160,522

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Solution

The third proportional to 102,534.50 and 160,522 is: 251,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534.50 : 160,522 = 160,522 : x
  2. Step 2: Convert to fraction form
    102,534.50/160,522 = 160,522/x
  3. Step 3: Cross multiply
    102,534.50x = 160,522 × 160,522
  4. Step 4: Simplify right side
    102,534.50x = 25,767,312,484
  5. Step 5: Solve for x
    x = 25,767,312,484/102,534.50
  6. Step 6: Final answer
    x = 251,303.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.