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Finding the Third Proportional to 110,363 and 174,872.50

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Solution

The third proportional to 110,363 and 174,872.50 is: 277,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,363 : 174,872.50 = 174,872.50 : x
  2. Step 2: Convert to fraction form
    110,363/174,872.50 = 174,872.50/x
  3. Step 3: Cross multiply
    110,363x = 174,872.50 × 174,872.50
  4. Step 4: Simplify right side
    110,363x = 30,580,391,256.25
  5. Step 5: Solve for x
    x = 30,580,391,256.25/110,363
  6. Step 6: Final answer
    x = 277,089.16

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.