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Finding the Third Proportional to 97,512 and 145,630

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Solution

The third proportional to 97,512 and 145,630 is: 217,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,512 : 145,630 = 145,630 : x
  2. Step 2: Convert to fraction form
    97,512/145,630 = 145,630/x
  3. Step 3: Cross multiply
    97,512x = 145,630 × 145,630
  4. Step 4: Simplify right side
    97,512x = 21,208,096,900
  5. Step 5: Solve for x
    x = 21,208,096,900/97,512
  6. Step 6: Final answer
    x = 217,492.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.