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Finding the Third Proportional to 97,064 and 146,280

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Solution

The third proportional to 97,064 and 146,280 is: 220,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,064 : 146,280 = 146,280 : x
  2. Step 2: Convert to fraction form
    97,064/146,280 = 146,280/x
  3. Step 3: Cross multiply
    97,064x = 146,280 × 146,280
  4. Step 4: Simplify right side
    97,064x = 21,397,838,400
  5. Step 5: Solve for x
    x = 21,397,838,400/97,064
  6. Step 6: Final answer
    x = 220,450.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.