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Finding the Third Proportional to 51,973 and 112,261

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Solution

The third proportional to 51,973 and 112,261 is: 242,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,973 : 112,261 = 112,261 : x
  2. Step 2: Convert to fraction form
    51,973/112,261 = 112,261/x
  3. Step 3: Cross multiply
    51,973x = 112,261 × 112,261
  4. Step 4: Simplify right side
    51,973x = 12,602,532,121
  5. Step 5: Solve for x
    x = 12,602,532,121/51,973
  6. Step 6: Final answer
    x = 242,482.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.