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Finding the Third Proportional to 58,232 and 121,072

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Solution

The third proportional to 58,232 and 121,072 is: 251,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,232 : 121,072 = 121,072 : x
  2. Step 2: Convert to fraction form
    58,232/121,072 = 121,072/x
  3. Step 3: Cross multiply
    58,232x = 121,072 × 121,072
  4. Step 4: Simplify right side
    58,232x = 14,658,429,184
  5. Step 5: Solve for x
    x = 14,658,429,184/58,232
  6. Step 6: Final answer
    x = 251,724.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.