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Finding the Third Proportional to 45,391 and 97,340

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Solution

The third proportional to 45,391 and 97,340 is: 208,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,391 : 97,340 = 97,340 : x
  2. Step 2: Convert to fraction form
    45,391/97,340 = 97,340/x
  3. Step 3: Cross multiply
    45,391x = 97,340 × 97,340
  4. Step 4: Simplify right side
    45,391x = 9,475,075,600
  5. Step 5: Solve for x
    x = 9,475,075,600/45,391
  6. Step 6: Final answer
    x = 208,743.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.