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Finding the Third Proportional to 118,689 and 158,547

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Solution

The third proportional to 118,689 and 158,547 is: 211,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,689 : 158,547 = 158,547 : x
  2. Step 2: Convert to fraction form
    118,689/158,547 = 158,547/x
  3. Step 3: Cross multiply
    118,689x = 158,547 × 158,547
  4. Step 4: Simplify right side
    118,689x = 25,137,151,209
  5. Step 5: Solve for x
    x = 25,137,151,209/118,689
  6. Step 6: Final answer
    x = 211,790.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.