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Finding the Third Proportional to 103,345.88 and 146,273.06

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Solution

The third proportional to 103,345.88 and 146,273.06 is: 207,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,345.88 : 146,273.06 = 146,273.06 : x
  2. Step 2: Convert to fraction form
    103,345.88/146,273.06 = 146,273.06/x
  3. Step 3: Cross multiply
    103,345.88x = 146,273.06 × 146,273.06
  4. Step 4: Simplify right side
    103,345.88x = 21,395,808,813.13
  5. Step 5: Solve for x
    x = 21,395,808,813.13/103,345.88
  6. Step 6: Final answer
    x = 207,031.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.