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Finding the Third Proportional to 97,970 and 146,574

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Solution

The third proportional to 97,970 and 146,574 is: 219,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,970 : 146,574 = 146,574 : x
  2. Step 2: Convert to fraction form
    97,970/146,574 = 146,574/x
  3. Step 3: Cross multiply
    97,970x = 146,574 × 146,574
  4. Step 4: Simplify right side
    97,970x = 21,483,937,476
  5. Step 5: Solve for x
    x = 21,483,937,476/97,970
  6. Step 6: Final answer
    x = 219,290.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.