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Finding the Third Proportional to 45,141 and 97,509

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Solution

The third proportional to 45,141 and 97,509 is: 210,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,141 : 97,509 = 97,509 : x
  2. Step 2: Convert to fraction form
    45,141/97,509 = 97,509/x
  3. Step 3: Cross multiply
    45,141x = 97,509 × 97,509
  4. Step 4: Simplify right side
    45,141x = 9,508,005,081
  5. Step 5: Solve for x
    x = 9,508,005,081/45,141
  6. Step 6: Final answer
    x = 210,629.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.