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Finding the Third Proportional to 121,592 and 249,196

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Solution

The third proportional to 121,592 and 249,196 is: 510,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,592 : 249,196 = 249,196 : x
  2. Step 2: Convert to fraction form
    121,592/249,196 = 249,196/x
  3. Step 3: Cross multiply
    121,592x = 249,196 × 249,196
  4. Step 4: Simplify right side
    121,592x = 62,098,646,416
  5. Step 5: Solve for x
    x = 62,098,646,416/121,592
  6. Step 6: Final answer
    x = 510,713.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.