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Finding the Third Proportional to 97,072 and 145,464

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Solution

The third proportional to 97,072 and 145,464 is: 217,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072 : 145,464 = 145,464 : x
  2. Step 2: Convert to fraction form
    97,072/145,464 = 145,464/x
  3. Step 3: Cross multiply
    97,072x = 145,464 × 145,464
  4. Step 4: Simplify right side
    97,072x = 21,159,775,296
  5. Step 5: Solve for x
    x = 21,159,775,296/97,072
  6. Step 6: Final answer
    x = 217,980.21

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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.