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Finding the Third Proportional to 97,097 and 146,537

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Solution

The third proportional to 97,097 and 146,537 is: 221,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,097 : 146,537 = 146,537 : x
  2. Step 2: Convert to fraction form
    97,097/146,537 = 146,537/x
  3. Step 3: Cross multiply
    97,097x = 146,537 × 146,537
  4. Step 4: Simplify right side
    97,097x = 21,473,092,369
  5. Step 5: Solve for x
    x = 21,473,092,369/97,097
  6. Step 6: Final answer
    x = 221,150.94

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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.