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Finding the Third Proportional to 77,039 and 118,362

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Solution

The third proportional to 77,039 and 118,362 is: 181,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,039 : 118,362 = 118,362 : x
  2. Step 2: Convert to fraction form
    77,039/118,362 = 118,362/x
  3. Step 3: Cross multiply
    77,039x = 118,362 × 118,362
  4. Step 4: Simplify right side
    77,039x = 14,009,563,044
  5. Step 5: Solve for x
    x = 14,009,563,044/77,039
  6. Step 6: Final answer
    x = 181,850.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.