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Finding the Third Proportional to 112,470 and 237,582.75

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Solution

The third proportional to 112,470 and 237,582.75 is: 501,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,470 : 237,582.75 = 237,582.75 : x
  2. Step 2: Convert to fraction form
    112,470/237,582.75 = 237,582.75/x
  3. Step 3: Cross multiply
    112,470x = 237,582.75 × 237,582.75
  4. Step 4: Simplify right side
    112,470x = 56,445,563,097.56
  5. Step 5: Solve for x
    x = 56,445,563,097.56/112,470
  6. Step 6: Final answer
    x = 501,872.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.