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Finding the Third Proportional to 50,465 and 72,417

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Solution

The third proportional to 50,465 and 72,417 is: 103,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,465 : 72,417 = 72,417 : x
  2. Step 2: Convert to fraction form
    50,465/72,417 = 72,417/x
  3. Step 3: Cross multiply
    50,465x = 72,417 × 72,417
  4. Step 4: Simplify right side
    50,465x = 5,244,221,889
  5. Step 5: Solve for x
    x = 5,244,221,889/50,465
  6. Step 6: Final answer
    x = 103,918.00

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.