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Finding the Third Proportional to 73,803 and 117,492

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Solution

The third proportional to 73,803 and 117,492 is: 187,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,803 : 117,492 = 117,492 : x
  2. Step 2: Convert to fraction form
    73,803/117,492 = 117,492/x
  3. Step 3: Cross multiply
    73,803x = 117,492 × 117,492
  4. Step 4: Simplify right side
    73,803x = 13,804,370,064
  5. Step 5: Solve for x
    x = 13,804,370,064/73,803
  6. Step 6: Final answer
    x = 187,043.48

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