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Finding the Third Proportional to 53,156 and 72,222

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Solution

The third proportional to 53,156 and 72,222 is: 98,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,156 : 72,222 = 72,222 : x
  2. Step 2: Convert to fraction form
    53,156/72,222 = 72,222/x
  3. Step 3: Cross multiply
    53,156x = 72,222 × 72,222
  4. Step 4: Simplify right side
    53,156x = 5,216,017,284
  5. Step 5: Solve for x
    x = 5,216,017,284/53,156
  6. Step 6: Final answer
    x = 98,126.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.