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Finding the Third Proportional to 77,582 and 118,629

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Solution

The third proportional to 77,582 and 118,629 is: 181,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,582 : 118,629 = 118,629 : x
  2. Step 2: Convert to fraction form
    77,582/118,629 = 118,629/x
  3. Step 3: Cross multiply
    77,582x = 118,629 × 118,629
  4. Step 4: Simplify right side
    77,582x = 14,072,839,641
  5. Step 5: Solve for x
    x = 14,072,839,641/77,582
  6. Step 6: Final answer
    x = 181,393.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.