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Finding the Third Proportional to 124,955 and 272,095

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Solution

The third proportional to 124,955 and 272,095 is: 592,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,955 : 272,095 = 272,095 : x
  2. Step 2: Convert to fraction form
    124,955/272,095 = 272,095/x
  3. Step 3: Cross multiply
    124,955x = 272,095 × 272,095
  4. Step 4: Simplify right side
    124,955x = 74,035,689,025
  5. Step 5: Solve for x
    x = 74,035,689,025/124,955
  6. Step 6: Final answer
    x = 592,498.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.