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Finding the Third Proportional to 61,913 and 93,009

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Solution

The third proportional to 61,913 and 93,009 is: 139,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,913 : 93,009 = 93,009 : x
  2. Step 2: Convert to fraction form
    61,913/93,009 = 93,009/x
  3. Step 3: Cross multiply
    61,913x = 93,009 × 93,009
  4. Step 4: Simplify right side
    61,913x = 8,650,674,081
  5. Step 5: Solve for x
    x = 8,650,674,081/61,913
  6. Step 6: Final answer
    x = 139,723.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.