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Finding the Third Proportional to 77,484 and 168,024

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Solution

The third proportional to 77,484 and 168,024 is: 364,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484 : 168,024 = 168,024 : x
  2. Step 2: Convert to fraction form
    77,484/168,024 = 168,024/x
  3. Step 3: Cross multiply
    77,484x = 168,024 × 168,024
  4. Step 4: Simplify right side
    77,484x = 28,232,064,576
  5. Step 5: Solve for x
    x = 28,232,064,576/77,484
  6. Step 6: Final answer
    x = 364,359.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.