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Finding the Third Proportional to 98,020 and 144,157

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Solution

The third proportional to 98,020 and 144,157 is: 212,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,020 : 144,157 = 144,157 : x
  2. Step 2: Convert to fraction form
    98,020/144,157 = 144,157/x
  3. Step 3: Cross multiply
    98,020x = 144,157 × 144,157
  4. Step 4: Simplify right side
    98,020x = 20,781,240,649
  5. Step 5: Solve for x
    x = 20,781,240,649/98,020
  6. Step 6: Final answer
    x = 212,010.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.