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Finding the Third Proportional to 61,410 and 97,242

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Solution

The third proportional to 61,410 and 97,242 is: 153,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,410 : 97,242 = 97,242 : x
  2. Step 2: Convert to fraction form
    61,410/97,242 = 97,242/x
  3. Step 3: Cross multiply
    61,410x = 97,242 × 97,242
  4. Step 4: Simplify right side
    61,410x = 9,456,006,564
  5. Step 5: Solve for x
    x = 9,456,006,564/61,410
  6. Step 6: Final answer
    x = 153,981.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.