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Finding the Third Proportional to 116,952 and 249,900

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Solution

The third proportional to 116,952 and 249,900 is: 533,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,952 : 249,900 = 249,900 : x
  2. Step 2: Convert to fraction form
    116,952/249,900 = 249,900/x
  3. Step 3: Cross multiply
    116,952x = 249,900 × 249,900
  4. Step 4: Simplify right side
    116,952x = 62,450,010,000
  5. Step 5: Solve for x
    x = 62,450,010,000/116,952
  6. Step 6: Final answer
    x = 533,979.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.