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Finding the Third Proportional to 115,712 and 249,136

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Solution

The third proportional to 115,712 and 249,136 is: 536,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,712 : 249,136 = 249,136 : x
  2. Step 2: Convert to fraction form
    115,712/249,136 = 249,136/x
  3. Step 3: Cross multiply
    115,712x = 249,136 × 249,136
  4. Step 4: Simplify right side
    115,712x = 62,068,746,496
  5. Step 5: Solve for x
    x = 62,068,746,496/115,712
  6. Step 6: Final answer
    x = 536,407.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.