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Finding the Third Proportional to 68,130 and 148,896

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Solution

The third proportional to 68,130 and 148,896 is: 325,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,130 : 148,896 = 148,896 : x
  2. Step 2: Convert to fraction form
    68,130/148,896 = 148,896/x
  3. Step 3: Cross multiply
    68,130x = 148,896 × 148,896
  4. Step 4: Simplify right side
    68,130x = 22,170,018,816
  5. Step 5: Solve for x
    x = 22,170,018,816/68,130
  6. Step 6: Final answer
    x = 325,407.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.