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Finding the Third Proportional to 60,095 and 139,117

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Solution

The third proportional to 60,095 and 139,117 is: 322,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,095 : 139,117 = 139,117 : x
  2. Step 2: Convert to fraction form
    60,095/139,117 = 139,117/x
  3. Step 3: Cross multiply
    60,095x = 139,117 × 139,117
  4. Step 4: Simplify right side
    60,095x = 19,353,539,689
  5. Step 5: Solve for x
    x = 19,353,539,689/60,095
  6. Step 6: Final answer
    x = 322,049.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.