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Finding the Third Proportional to 74,148 and 160,776

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Solution

The third proportional to 74,148 and 160,776 is: 348,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,148 : 160,776 = 160,776 : x
  2. Step 2: Convert to fraction form
    74,148/160,776 = 160,776/x
  3. Step 3: Cross multiply
    74,148x = 160,776 × 160,776
  4. Step 4: Simplify right side
    74,148x = 25,848,922,176
  5. Step 5: Solve for x
    x = 25,848,922,176/74,148
  6. Step 6: Final answer
    x = 348,612.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.