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Finding the Third Proportional to 59,468 and 81,547

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Solution

The third proportional to 59,468 and 81,547 is: 111,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,468 : 81,547 = 81,547 : x
  2. Step 2: Convert to fraction form
    59,468/81,547 = 81,547/x
  3. Step 3: Cross multiply
    59,468x = 81,547 × 81,547
  4. Step 4: Simplify right side
    59,468x = 6,649,913,209
  5. Step 5: Solve for x
    x = 6,649,913,209/59,468
  6. Step 6: Final answer
    x = 111,823.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.