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Finding the Third Proportional to 61,135 and 93,518

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Solution

The third proportional to 61,135 and 93,518 is: 143,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,135 : 93,518 = 93,518 : x
  2. Step 2: Convert to fraction form
    61,135/93,518 = 93,518/x
  3. Step 3: Cross multiply
    61,135x = 93,518 × 93,518
  4. Step 4: Simplify right side
    61,135x = 8,745,616,324
  5. Step 5: Solve for x
    x = 8,745,616,324/61,135
  6. Step 6: Final answer
    x = 143,054.16

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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.