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Finding the Third Proportional to 124,752 and 272,072

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Solution

The third proportional to 124,752 and 272,072 is: 593,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,752 : 272,072 = 272,072 : x
  2. Step 2: Convert to fraction form
    124,752/272,072 = 272,072/x
  3. Step 3: Cross multiply
    124,752x = 272,072 × 272,072
  4. Step 4: Simplify right side
    124,752x = 74,023,173,184
  5. Step 5: Solve for x
    x = 74,023,173,184/124,752
  6. Step 6: Final answer
    x = 593,362.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.