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Finding the Third Proportional to 61,036 and 93,316

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Solution

The third proportional to 61,036 and 93,316 is: 142,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,036 : 93,316 = 93,316 : x
  2. Step 2: Convert to fraction form
    61,036/93,316 = 93,316/x
  3. Step 3: Cross multiply
    61,036x = 93,316 × 93,316
  4. Step 4: Simplify right side
    61,036x = 8,707,875,856
  5. Step 5: Solve for x
    x = 8,707,875,856/61,036
  6. Step 6: Final answer
    x = 142,667.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.