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Finding the Third Proportional to 74,156.77 and 117,904.36

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Solution

The third proportional to 74,156.77 and 117,904.36 is: 187,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,156.77 : 117,904.36 = 117,904.36 : x
  2. Step 2: Convert to fraction form
    74,156.77/117,904.36 = 117,904.36/x
  3. Step 3: Cross multiply
    74,156.77x = 117,904.36 × 117,904.36
  4. Step 4: Simplify right side
    74,156.77x = 13,901,437,959.63
  5. Step 5: Solve for x
    x = 13,901,437,959.63/74,156.77
  6. Step 6: Final answer
    x = 187,460.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.