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Finding the Third Proportional to 69,213 and 98,973

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Solution

The third proportional to 69,213 and 98,973 is: 141,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,213 : 98,973 = 98,973 : x
  2. Step 2: Convert to fraction form
    69,213/98,973 = 98,973/x
  3. Step 3: Cross multiply
    69,213x = 98,973 × 98,973
  4. Step 4: Simplify right side
    69,213x = 9,795,654,729
  5. Step 5: Solve for x
    x = 9,795,654,729/69,213
  6. Step 6: Final answer
    x = 141,529.12

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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.