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Finding the Third Proportional to 105,672 and 249,258

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Solution

The third proportional to 105,672 and 249,258 is: 587,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,672 : 249,258 = 249,258 : x
  2. Step 2: Convert to fraction form
    105,672/249,258 = 249,258/x
  3. Step 3: Cross multiply
    105,672x = 249,258 × 249,258
  4. Step 4: Simplify right side
    105,672x = 62,129,550,564
  5. Step 5: Solve for x
    x = 62,129,550,564/105,672
  6. Step 6: Final answer
    x = 587,947.14

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Why These Related Problems?

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