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Finding the Third Proportional to 69,580 and 93,214

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Solution

The third proportional to 69,580 and 93,214 is: 124,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,580 : 93,214 = 93,214 : x
  2. Step 2: Convert to fraction form
    69,580/93,214 = 93,214/x
  3. Step 3: Cross multiply
    69,580x = 93,214 × 93,214
  4. Step 4: Simplify right side
    69,580x = 8,688,849,796
  5. Step 5: Solve for x
    x = 8,688,849,796/69,580
  6. Step 6: Final answer
    x = 124,875.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.