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Finding the Third Proportional to 58,596 and 94,332

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Solution

The third proportional to 58,596 and 94,332 is: 151,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,596 : 94,332 = 94,332 : x
  2. Step 2: Convert to fraction form
    58,596/94,332 = 94,332/x
  3. Step 3: Cross multiply
    58,596x = 94,332 × 94,332
  4. Step 4: Simplify right side
    58,596x = 8,898,526,224
  5. Step 5: Solve for x
    x = 8,898,526,224/58,596
  6. Step 6: Final answer
    x = 151,862.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.