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Finding the Third Proportional to 115,130 and 249,957

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Solution

The third proportional to 115,130 and 249,957 is: 542,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,130 : 249,957 = 249,957 : x
  2. Step 2: Convert to fraction form
    115,130/249,957 = 249,957/x
  3. Step 3: Cross multiply
    115,130x = 249,957 × 249,957
  4. Step 4: Simplify right side
    115,130x = 62,478,501,849
  5. Step 5: Solve for x
    x = 62,478,501,849/115,130
  6. Step 6: Final answer
    x = 542,677.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.