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Finding the Third Proportional to 53,095 and 78,639

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Solution

The third proportional to 53,095 and 78,639 is: 116,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095 : 78,639 = 78,639 : x
  2. Step 2: Convert to fraction form
    53,095/78,639 = 78,639/x
  3. Step 3: Cross multiply
    53,095x = 78,639 × 78,639
  4. Step 4: Simplify right side
    53,095x = 6,184,092,321
  5. Step 5: Solve for x
    x = 6,184,092,321/53,095
  6. Step 6: Final answer
    x = 116,472.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.