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Finding the Third Proportional to 58,590 and 121,332

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Solution

The third proportional to 58,590 and 121,332 is: 251,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,590 : 121,332 = 121,332 : x
  2. Step 2: Convert to fraction form
    58,590/121,332 = 121,332/x
  3. Step 3: Cross multiply
    58,590x = 121,332 × 121,332
  4. Step 4: Simplify right side
    58,590x = 14,721,454,224
  5. Step 5: Solve for x
    x = 14,721,454,224/58,590
  6. Step 6: Final answer
    x = 251,262.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.