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Finding the Third Proportional to 59,609 and 83,547

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Solution

The third proportional to 59,609 and 83,547 is: 117,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,609 : 83,547 = 83,547 : x
  2. Step 2: Convert to fraction form
    59,609/83,547 = 83,547/x
  3. Step 3: Cross multiply
    59,609x = 83,547 × 83,547
  4. Step 4: Simplify right side
    59,609x = 6,980,101,209
  5. Step 5: Solve for x
    x = 6,980,101,209/59,609
  6. Step 6: Final answer
    x = 117,098.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.