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Finding the Third Proportional to 97,896 and 148,896

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Solution

The third proportional to 97,896 and 148,896 is: 226,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,896 : 148,896 = 148,896 : x
  2. Step 2: Convert to fraction form
    97,896/148,896 = 148,896/x
  3. Step 3: Cross multiply
    97,896x = 148,896 × 148,896
  4. Step 4: Simplify right side
    97,896x = 22,170,018,816
  5. Step 5: Solve for x
    x = 22,170,018,816/97,896
  6. Step 6: Final answer
    x = 226,465.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.