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Finding the Third Proportional to 105,655.50 and 249,157

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Solution

The third proportional to 105,655.50 and 249,157 is: 587,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655.50 : 249,157 = 249,157 : x
  2. Step 2: Convert to fraction form
    105,655.50/249,157 = 249,157/x
  3. Step 3: Cross multiply
    105,655.50x = 249,157 × 249,157
  4. Step 4: Simplify right side
    105,655.50x = 62,079,210,649
  5. Step 5: Solve for x
    x = 62,079,210,649/105,655.50
  6. Step 6: Final answer
    x = 587,562.51

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.