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Finding the Third Proportional to 61,610 and 97,935

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Solution

The third proportional to 61,610 and 97,935 is: 155,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,610 : 97,935 = 97,935 : x
  2. Step 2: Convert to fraction form
    61,610/97,935 = 97,935/x
  3. Step 3: Cross multiply
    61,610x = 97,935 × 97,935
  4. Step 4: Simplify right side
    61,610x = 9,591,264,225
  5. Step 5: Solve for x
    x = 9,591,264,225/61,610
  6. Step 6: Final answer
    x = 155,677.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.