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Finding the Third Proportional to 61,004 and 93,883

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Solution

The third proportional to 61,004 and 93,883 is: 144,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,004 : 93,883 = 93,883 : x
  2. Step 2: Convert to fraction form
    61,004/93,883 = 93,883/x
  3. Step 3: Cross multiply
    61,004x = 93,883 × 93,883
  4. Step 4: Simplify right side
    61,004x = 8,814,017,689
  5. Step 5: Solve for x
    x = 8,814,017,689/61,004
  6. Step 6: Final answer
    x = 144,482.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.