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Finding the Third Proportional to 77,572 and 168,968

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Solution

The third proportional to 77,572 and 168,968 is: 368,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,572 : 168,968 = 168,968 : x
  2. Step 2: Convert to fraction form
    77,572/168,968 = 168,968/x
  3. Step 3: Cross multiply
    77,572x = 168,968 × 168,968
  4. Step 4: Simplify right side
    77,572x = 28,550,185,024
  5. Step 5: Solve for x
    x = 28,550,185,024/77,572
  6. Step 6: Final answer
    x = 368,047.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.