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Finding the Third Proportional to 53,726 and 93,261

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Solution

The third proportional to 53,726 and 93,261 is: 161,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,726 : 93,261 = 93,261 : x
  2. Step 2: Convert to fraction form
    53,726/93,261 = 93,261/x
  3. Step 3: Cross multiply
    53,726x = 93,261 × 93,261
  4. Step 4: Simplify right side
    53,726x = 8,697,614,121
  5. Step 5: Solve for x
    x = 8,697,614,121/53,726
  6. Step 6: Final answer
    x = 161,888.36

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.