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Finding the Third Proportional to 117,510 and 249,090.75

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Solution

The third proportional to 117,510 and 249,090.75 is: 528,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,510 : 249,090.75 = 249,090.75 : x
  2. Step 2: Convert to fraction form
    117,510/249,090.75 = 249,090.75/x
  3. Step 3: Cross multiply
    117,510x = 249,090.75 × 249,090.75
  4. Step 4: Simplify right side
    117,510x = 62,046,201,735.56
  5. Step 5: Solve for x
    x = 62,046,201,735.56/117,510
  6. Step 6: Final answer
    x = 528,007.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.