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Finding the Third Proportional to 98,501 and 143,445

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Solution

The third proportional to 98,501 and 143,445 is: 208,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,501 : 143,445 = 143,445 : x
  2. Step 2: Convert to fraction form
    98,501/143,445 = 143,445/x
  3. Step 3: Cross multiply
    98,501x = 143,445 × 143,445
  4. Step 4: Simplify right side
    98,501x = 20,576,468,025
  5. Step 5: Solve for x
    x = 20,576,468,025/98,501
  6. Step 6: Final answer
    x = 208,896.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.