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Finding the Third Proportional to 73,020 and 104,346

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Solution

The third proportional to 73,020 and 104,346 is: 149,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,020 : 104,346 = 104,346 : x
  2. Step 2: Convert to fraction form
    73,020/104,346 = 104,346/x
  3. Step 3: Cross multiply
    73,020x = 104,346 × 104,346
  4. Step 4: Simplify right side
    73,020x = 10,888,087,716
  5. Step 5: Solve for x
    x = 10,888,087,716/73,020
  6. Step 6: Final answer
    x = 149,111.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.