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Finding the Third Proportional to 58,600 and 93,169

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Solution

The third proportional to 58,600 and 93,169 is: 148,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,600 : 93,169 = 93,169 : x
  2. Step 2: Convert to fraction form
    58,600/93,169 = 93,169/x
  3. Step 3: Cross multiply
    58,600x = 93,169 × 93,169
  4. Step 4: Simplify right side
    58,600x = 8,680,462,561
  5. Step 5: Solve for x
    x = 8,680,462,561/58,600
  6. Step 6: Final answer
    x = 148,130.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.