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Finding the Third Proportional to 119,422.69 and 154,985.06

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Solution

The third proportional to 119,422.69 and 154,985.06 is: 201,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,422.69 : 154,985.06 = 154,985.06 : x
  2. Step 2: Convert to fraction form
    119,422.69/154,985.06 = 154,985.06/x
  3. Step 3: Cross multiply
    119,422.69x = 154,985.06 × 154,985.06
  4. Step 4: Simplify right side
    119,422.69x = 24,020,369,598.13
  5. Step 5: Solve for x
    x = 24,020,369,598.13/119,422.69
  6. Step 6: Final answer
    x = 201,137.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.