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Finding the Third Proportional to 98,417 and 144,345

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Solution

The third proportional to 98,417 and 144,345 is: 211,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,417 : 144,345 = 144,345 : x
  2. Step 2: Convert to fraction form
    98,417/144,345 = 144,345/x
  3. Step 3: Cross multiply
    98,417x = 144,345 × 144,345
  4. Step 4: Simplify right side
    98,417x = 20,835,479,025
  5. Step 5: Solve for x
    x = 20,835,479,025/98,417
  6. Step 6: Final answer
    x = 211,706.10

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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.