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Finding the Third Proportional to 125,672 and 265,888

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Solution

The third proportional to 125,672 and 265,888 is: 562,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,672 : 265,888 = 265,888 : x
  2. Step 2: Convert to fraction form
    125,672/265,888 = 265,888/x
  3. Step 3: Cross multiply
    125,672x = 265,888 × 265,888
  4. Step 4: Simplify right side
    125,672x = 70,696,428,544
  5. Step 5: Solve for x
    x = 70,696,428,544/125,672
  6. Step 6: Final answer
    x = 562,547.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.