Finding the Third Proportional to 70,526 and 105,924
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Solution
The third proportional to 70,526 and 105,924 is: 159,088.76
Step by Step Solution
- Step 1: Write the proportion equation
70,526 : 105,924 = 105,924 : x - Step 2: Convert to fraction form
70,526/105,924 = 105,924/x - Step 3: Cross multiply
70,526x = 105,924 × 105,924 - Step 4: Simplify right side
70,526x = 11,219,893,776 - Step 5: Solve for x
x = 11,219,893,776/70,526 - Step 6: Final answer
x = 159,088.76
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.