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Finding the Third Proportional to 62,557 and 97,009

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Solution

The third proportional to 62,557 and 97,009 is: 150,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,557 : 97,009 = 97,009 : x
  2. Step 2: Convert to fraction form
    62,557/97,009 = 97,009/x
  3. Step 3: Cross multiply
    62,557x = 97,009 × 97,009
  4. Step 4: Simplify right side
    62,557x = 9,410,746,081
  5. Step 5: Solve for x
    x = 9,410,746,081/62,557
  6. Step 6: Final answer
    x = 150,434.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.