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Finding the Third Proportional to 98,970 and 146,598

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Solution

The third proportional to 98,970 and 146,598 is: 217,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,970 : 146,598 = 146,598 : x
  2. Step 2: Convert to fraction form
    98,970/146,598 = 146,598/x
  3. Step 3: Cross multiply
    98,970x = 146,598 × 146,598
  4. Step 4: Simplify right side
    98,970x = 21,490,973,604
  5. Step 5: Solve for x
    x = 21,490,973,604/98,970
  6. Step 6: Final answer
    x = 217,146.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.